We're dividing 20414 by 45 
Our goal is to divide 20414 by 45.

Step 1:
2 divided by 45 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 45

Step 2:
45 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 20 and we're left with 20.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 45

Going ahead to step 3:
If we divide 204 by 45, we get 4 and a remainder of 24.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 180 from 204 leaves us with 24.
Grab the next digit (1) from the dividend, add it to 24, then carry on: 241 / 45

Let's proceed to step 4:
If we divide 241 by 45, we get 5 and a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Deduct 225 from 241 and we're left with 16.
Fetch the next digit (4) from the dividend, attach it to 16 and continue: 164 / 45

Going ahead to step 5:
When dividing 164 by 45, we get 3 with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 453.0
Subtract 135 from 164 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 6:
When dividing 290 by 45, we get 6 with a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 453.6
Deduct 270 from 290 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
200 divided by 45 is 4 with a remainder of 20.
The next digit of our result is 4. 
Result so far: 453.64
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
When dividing 200 by 45, we get 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 453.644
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 453.644, and the remainder is 0.002.